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Finding the Third Proportional to 147,754 and 326,612

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Solution

The third proportional to 147,754 and 326,612 is: 721,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,754 : 326,612 = 326,612 : x
  2. Step 2: Convert to fraction form
    147,754/326,612 = 326,612/x
  3. Step 3: Cross multiply
    147,754x = 326,612 × 326,612
  4. Step 4: Simplify right side
    147,754x = 106,675,398,544
  5. Step 5: Solve for x
    x = 106,675,398,544/147,754
  6. Step 6: Final answer
    x = 721,979.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.